Solve --2-frac{sqrt{-2^2-4*1*1}}{2*1}

$$--2- \frac{ \sqrt{ { -2 }^{ 2 } -4 \cdot 1 \cdot 1 } }{ 2 \cdot 1 }$$

Evaluate

$$2$$

Solution Steps

The opposite of -2 is 2.

$$2-\frac{\sqrt{\left(-2\right)^{2}-4\times 1\times 1}}{2\times 1}$$

Calculate -2 to the power of 2 and get 4.

$$2-\frac{\sqrt{4-4\times 1\times 1}}{2\times 1}$$

Multiply 4 and 1 to get 4.

$$2-\frac{\sqrt{4-4\times 1}}{2\times 1}$$

Multiply 4 and 1 to get 4.

$$2-\frac{\sqrt{4-4}}{2\times 1}$$

Subtract 4 from 4 to get 0.

$$2-\frac{\sqrt{0}}{2\times 1}$$

Calculate the square root of 0 and get 0.

$$2-\frac{0}{2\times 1}$$

Multiply 2 and 1 to get 2.

$$2-\frac{0}{2}$$

Zero divided by any non-zero number gives zero.

$$2+0$$

Add 2 and 0 to get 2.

$$2$$

Factor

$$2$$